Forest Hills ELO - Number Sense and Operations

Number, Number Sense and Operations

1.`Decompose and recompose whole numbers using factors and
exponents (e.g., 32 = 2 x 2 x 2 x 2 x 2 = 25 ), and explain why
“squared” means “second power” and “cubed” means “third
power.”
	http://nces.ed.gov/nationsreportcard/itmrls/qtab.asp?listarr=%221990-...









2. Find and use the prime factorization of composite numbers. For
example:
a. Use the prime factorization to recognize the greatest common
factor (GCF).
b. Use the prime factorization to recognize the least common
multiple (LCM).
c. Apply the prime factorization to solve problems and explain
solutions.
	http://illuminations.nctm.org/LessonDetail.aspx?ID=L620
	http://illuminations.nctm.org/index_o.aspx?id=100
	http://illuminations.nctm.org/LessonDetail.aspx?ID=U125
	http://nces.ed.gov/nationsreportcard/itmrls/qtab.asp?listarr=%221990-...









3. Explain why a number is referred to as being “rational,” and
recognize expressions













4. Describe what it means to find a specific percent of a number, using
real-life examples.
	http://www.pbs.org/teachersource/mathline/lessonplans/msmp/million/mi...
	http://illuminations.nctm.org/LessonDetail.aspx?ID=L266
	http://ims.ode.state.oh.us/ODE/IMS/Assessment/Content/CMA_AI_200503_G...













5. Use models and pictures to relate concepts of ratio, proportion and
percent, including percents less than 1 and greater than 100.
	http://www.pbs.org/teachersource/mathline/lessonplans/msmp/somethingf...
	http://www.pbs.org/teachersource/mathline/lessonplans/msmp/noses/nose...












6. Use the order of operations, including the use of exponents,
decimals and rational numbers, to simplify numerical expressions.
	http://nces.ed.gov/nationsreportcard/itmrls/qtab.asp?listarr=%222003-...
	http://nces.ed.gov/nationsreportcard/itmrls/qtab.asp?listarr=%221992-...
	http://www.usatoday.com/educate/mathtoday/reg_activities/Mortgages.pdf












7. Use simple expressions involving integers to represent and solve
problems; e.g., if a running back loses 15 yards on the first carry but
gains 8 yards on the second carry, what is the net gain/loss?
	http://filer.weblogger.com/earlyalgebraManilaWebsite/classes/Lesson03...









8. Represent multiplication and division situations involving fractions
and decimals with models and visual representations;
	http://math.rice.edu/~lanius/fractions/index.html
	http://www.utdanacenter.org/mathtoolkit/instruction/lessons/7_divide....










9. Give examples of how ratios are used to represent comparisons; e.g.,
part-to-part, part-to-whole, whole-to-part.
	http://www.pbs.org/teachersource/mathline/lessonplans/msmp/somethingf...
	http://www.pbs.org/teachersource/mathline/lessonplans/msmp/fantasy/fa...
	http://www.pbs.org/teachersource/mathline/lessonplans/msmp/fantasy/fa...












10. Recognize that a quotient may be larger than the dividend when the
divisor is a fraction;
	http://illuminations.nctm.org/index_d.aspx?id=252














11. Perform fraction and decimal computations and justify their
solutions; e.g., using manipulatives, diagrams, mathematical
reasoning.
	http://illuminations.nctm.org/index_d.aspx?id=284
	http://illuminations.nctm.org/index_d.aspx?id=264
	http://filer.weblogger.com/earlyalgebraManilaWebsite/classes/Lesson21...
	http://illuminations.nctm.org/index_d.aspx?id=279
	http://math.rice.edu/~lanius/fractions/index.html
	http://www.utdanacenter.org/mathtoolkit/instruction/lessons/7_divide....
	http://nces.ed.gov/nationsreportcard/itmrls/qtab.asp?listarr=%222003-...
	http://nces.ed.gov/nationsreportcard/itmrls/qtab.asp?listarr=%221992-...







12. Develop and analyze algorithms for computing with fractions and
decimals, and demonstrate fluency in their use.
	http://www.utdanacenter.org/mathtoolkit/instruction/lessons/7_divide....
	http://nces.ed.gov/nationsreportcard/itmrls/qtab.asp?listarr=%222003-...
	http://nces.ed.gov/nationsreportcard/itmrls/qtab.asp?listarr=%221992-...













13. Estimate reasonable solutions to problem situations involving fractions and decimals.
	http://illuminations.nctm.org/index_d.aspx?id=252
	http://filer.weblogger.com/earlyalgebraManilaWebsite/classes/Lesson12...
	http://illuminations.nctm.org/index_d.aspx?id=279












14. Use proportional reasoning, ratios and percents to represent
problem situations and determine the reasonableness of solutions.
	http://illuminations.nctm.org/index_d.aspx?id=284
	http://illuminations.nctm.org/index_d.aspx?id=252
	http://www.usatoday.com/educate/mathtoday/reg_activities/InterestREVISED.pdf
	http://illuminations.nctm.org/LessonDetail.aspx?ID=L367
	http://www.pbs.org/teachersource/mathline/lessonplans/msmp/somethingf...
	http://filer.weblogger.com/earlyalgebraManilaWebsite/classes/Lesson21...
	http://www.pbs.org/teachersource/mathline/lessonplans/msmp/noses/nose...
	http://illuminations.nctm.org/LessonDetail.aspx?ID=L176
	http://filer.weblogger.com/earlyalgebraManilaWebsite/classes/Lesson12...
	http://illuminations.nctm.org/index_d.aspx?id=279
	http://illuminations.nctm.org/LessonDetail.aspx?ID=L255
	http://www.pbs.org/teachersource/mathline/lessonplans/pdf/msmp/greatr...
	http://www.pbs.org/teachersource/mathline/lessonplans/msmp/fantasy/fa...
	http://illuminations.nctm.org/LessonDetail.aspx?ID=L177
	http://illuminations.nctm.org/LessonDetail.aspx?ID=L266
	http://www.pbs.org/teachersource/mathline/lessonplans/msmp/fantasy/fa...
	http://www.bced.gov.bc.ca/careers/aa/lessons/aom11.htm






15. Determine the percent of a number and solve related problems; e.g.,
find the percent markdown if the original price was $140, and the
sale price is $100.
	http://illuminations.nctm.org/index_d.aspx?id=279
	http://illuminations.nctm.org/LessonDetail.aspx?ID=L177
	http://illuminations.nctm.org/LessonDetail.aspx?ID=L266
	http://www.bced.gov.bc.ca/careers/aa/lessons/aom11.htm